Breakthrough Skill second effect ruling

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Player A has a breakthrough skill in his graveyard and enters battle phase with a Face up Sabersaurus

Player B has a face up Evolzar Laggia with materials

Player A attacks the Laggia and chains forbidden lance
Player B chains Laggia's effect
Player A chains breakthrough skill in his graveyard to negate Laggia's effect

The question is are you able to use breakthrough skill's second effect (banish from graveyard) during the battle phase of Player A's turn? I always thought that you can only use the second effect during Player A's main phase.